You put 14 gallons of gasoline (x) in your car. You know that this amount of gasoline will allow you to drive 420 miles (y). Write and graph an equation to represent the situation.

Question

You put  14 gallons of gasoline​ (x) in your car. You know that this amount of gasoline will allow you to drive 420 miles​ (y). Write and graph an equation to represent the situation.

GPT 3.5 · Answer

To represent the relationship between the amount of gasoline (x) and the distance driven (y), we can use the equation:
y = kx
where k is the constant that represents the mileage per gallon.

Given that 14 gallons of gasoline allow you to drive 420 miles:
420 = 14k

We can solve for k by dividing both sides of the equation by 14:
k = 420/14 = 30

Therefore, the equation to represent the situation is:
y = 30x

To graph the equation, we can plot the distance (y) on the vertical axis and the amount of gasoline (x) on the horizontal axis. The slope of the graph will be 30, indicating that for every gallon of gasoline, you can drive 30 miles.
The graph is a straight line passing through the origin.

You put 14 gallons of gasoline​ (x) in your car. You know that this amount of gasoline will allow you to drive 420 miles​ (y). Write and graph an equation to represent the situation.

You put 14 gallons of gasoline (x) in your car. You know that this amount of gasoline will allow you to drive 420 miles (y). Write and graph an equation to represent the situation.